What is the slope-intercept equation for the line below?
(5, 4)
(0, 2)

Answer:

-13

Step-by-step explanation:

An integer is an whole number without decimals and fractions and can be negative, positive or 0.

In this scenario, the quarterback is losing 13 yards. The loss means that the 13 is negative, because positive would mean that he gains 13 yards. Therefore the loss is represented by the integer -13.

Hope this helped!

Answer:

\(-\frac{1}{8}\)

Step-by-step explanation:

y=mx+b

m= slope (rise over run)

The slope of y=8x+5 is \(\frac{8}{1}\)

When a line is perpendicular, the slope is the opposite reciprocal.

\(\frac{8}{1}\) would be flipped to \(-\frac{1}{8}\)

Answer:

C) 78.5cm^2

Step-by-step explanation:

Answer:

1/5 × 950

(2nd option)

Step-by-step explanation:

\(20\% = \frac{20}{100} = \frac{1}{5} \)

So 20% of 950 = 1/5 × 950

Answer:

The area of the figure is 286 cm^2

Area of upper triangle = (1/2) base X height

= (1/2) 12 X 10

= 60

The middle portion is square so

area = l^2

= 100

the base of bottom triangle = 4 + 10 + 4 = 18

height of bottom triangle = 14

so area = (1/2) base X height

= 126

total area = area of upper triangle + area of square +area of bottom triangle

= 60 + 100 + 126

= 286 cm^2

Luna received 9 dollar for each pair of sneakers. She got total 18 dollars for her 2 pairs of sneakers. The equation which we can use to find the amount of money x= total money spent+ money remained.

It is given that, total pair of jumper sneakers she sold at the secondhand market = 2 pairs.

So, total sneakers= 4

Let, she got total x dollar for her jumpy sneakers.

So, here, total money spent= 12 dollars

total money left with her= 6 dollars

Hence, x= 12+ 6 dollars = 18 dollars.

So, total money she got = 18 dollars.

Money for each pair of sneakers= 9 dollars.

Equation for x= total money spent+ money left with her.

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To solve this problem both units must have the same units.

So, let's convert quarts to gallons

1 quart ----------------------- 0.25 gallon

34 quarts -------------------- x

x = (34 x 0.25) / 1

x = 8.5 gallons

8.5 gallons or 34 quarts > 8 gallons

The Scale factor was used to enlarge the picture is 7/ 31.5.

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.

Given:

A picture is 7 inches wide and 9 inches long.

A photographer enlarges it so it is 31.5 inches wide and 40.5 inches long.

So, scale factor is

= Original dimension / Enlarged dimension

= 9/ 40.5

= 90/ 405

= 10/45

= 2/9

Now, simplifying the scale factor 7/31.5 because it has Nr < Dr.

= 7/ 3.15

= 70/31.5

= 2/9

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Answer:

96 cm^2

Step-by-step explanation:

The triangle can be split into 2 6-8-10 triangles, each with area 24. The bottom parallelogram area is base times height, or 8 * 6, so 48. 24 + 24 + 48 is 96.

Answer:

300 min

Step-by-step explanation:

60 times 5 :)

Therefore, based on the given information, the estimated age of the tomb is approximately 3,970 years.

To estimate the age of the tomb based on the radioactive carbon-14 (C-14) content in the cypress beam, we can use the decay equation:

A = A₀ * e*(kt)

Where:

A = Final amount of radioactive substance (55% of the original C-14 content)

A₀ = Initial amount of radioactive substance (100% of the original C-14 content)

k = Decay constant (ln(2) / half-life of C-14)

t = Time (age of the tomb)

Given that the half-life of C-14 is approximately 5600 years, we can calculate the decay constant:

k = ln(2) / 5600 years

Now we can plug in the values:

0.55A₀ = A₀ * e*((ln(2) / 5600 years) * t)

Dividing both sides by A₀:

0.55 = e*((ln(2) / 5600 years) * t)

Taking the natural logarithm of both sides:

ln(0.55) = (ln(2) / 5600 years) * t

Now we can solve for t, the age of the tomb:

t = (ln(0.55) * 5600 years) / ln(2)

Evaluating the expression:

t ≈ 3,970 years

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Answer:

not a answer

Step-by-step explanation:

try using demos graphing calculator

The standard deviation of the shoe size data for the math class is 1.5. Standard deviation is a measure of how spread out the data is, and it is calculated by taking the square root of the variance.

Calculate the difference between each shoe size and the mean (7.5)

if the shoe sizes in the class are 6, 7, 8, 9, 10

The differences from the mean are (-1.5), (-0.5), 0.5, 1.5, 2.5

Square each difference

(-1.5)² = 2.25

(-0.5)² = 0.25

0.5² = 0.25

1.5² = 2.25

2.5² = 6.25

Add up all the squared differences

2.25 + 0.25 + 0.25 + 2.25 + 6.25 = 11.25

Divide the sum of squared differences by the number of shoe sizes (n):

11.25 / 5 = 2.25

Take the square root of the result to get the standard deviation

√(2.25) = 1.5

Therefore, the standard deviation of the shoe size data for the math class is 1.5.

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Answer:

10 units squared

Step-by-step explanation:

Looking at the figure, we can observe that it consists of two triangles: one on the left of the y-axis and one on the right. This means that we can find the separate areas of each triangle and then sum them to get the total area.

The area of a triangle is denoted by: A = (1/2) * b * h, where b is the base and h is the height.

Left Triangle:

The base is 4 and the height is 4, so the area is:

A = (1/2) * b * h

A = (1/2) * 4 * 4 = (1/2) * 16 = 8 units squared

Right Triangle:

The base is 2 and the height is 2, so the area is:

A = (1/2) * b * h

A = (1/2) * 2 * 2 = (1/2) * 4 = 2 units squared

The total area is 8 + 2 = 10 units squared.

~ an aesthetics lover

Answer: approx 13.54 (full decimal : 13.416666667)

Step-by-step explanation:

Area = Base Area x Height   OR    Length x Width x Height

5/3 x 13/4 x 5/2

5 x 13 x 5 = 325

3 x 4 x 2 = 24

325/24 = approx 13.54

The statement is true. In linear algebra, invertibility is a property of square matrices, meaning they have an inverse matrix that, when multiplied by the original matrix, results in the identity matrix. However, the statement given in the question refers to a vector a, not a matrix.

To determine if a vector is invertible, we need to consider its properties. A vector can be thought of as a matrix with one column, so we can still use the idea of invertibility. If a vector is invertible, it means that there exists another vector, let's call it b, such that their dot product (a⋅b) is equal to the identity scalar 1.
Now, let's consider the given condition: ab−cd≠0. We can rewrite this as a(b−d)−c(b−d)≠0, which can be factored as (a−c)(b−d)≠0. Since we are given that ab−cd≠0, we know that (b−d)≠0. Therefore, for (a−c)(b−d)≠0 to hold, we must have (a−c)≠0. This means that a and c are not equal.
Now, we can find the inverse vector b. We can rewrite the condition ab−cd≠0 as a(b−d)≠c(b−d). Dividing both sides by (b−d), we get a≠c. We can choose b to be any vector that is perpendicular to a−c, which will guarantee that their dot product is 1. For example, we can choose b to be the vector [c−a 0 0 0] (note that b is a column vector since a is a row vector). Then, we have:
a⋅b = [a b c d]⋅[c−a 0 0 0] = ac−ab = c(b−a) = c(b−d)/(b−d) = c/1 = c
c⋅b = [a b c d]⋅[c−a 0 0 0] = ac−bc = a(c−b) = a(b−d)/(b−d) = a/1 = a
Therefore, a and c have inverse vectors b and d, respectively, and a is invertible.

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Answer:

£34.05

Step-by-step explanation:

36/4=9

36/12=3

36/6=6

9x0.75=6.75

3x0.42=1.26

6x1.10=6.6

36x0.54=18.44

6.75+1.26+6.6+19.44= £34.05

Answer:y=-9x+3

Step-by-step explanation:

In a y=mx+b equation (slope intercept form) like this one m is the slope and b is the y intercept.

Answer:

392?

Step-by-step explanation:

to find perimeter you add each side I think, so...

50 + 50 + 50 + 50 + 96 + 96 = 392

No clue if I did this properly but based on my math I did it right not sure the formula you are using/ should be using to figure this out.

If 1472cm² of wrapping paper is needed to cover the smaller box, approximately 1672cm² of wrapping paper is needed to cover the larger box (assuming the surface area is directly proportional to the length).

Since the smaller and larger boxes have exactly the same shape, we can assume that their dimensions are proportional.

Let's denote the width and height of the smaller box as "w" and "h," respectively, and the width and height of the larger box as "W" and "H," respectively.

We know that the length of the smaller box is 16 cm, so we have:

Length of smaller box = 16 cm

Width of smaller box = w

Height of smaller box = h

To find the dimensions of the larger box, we can set up a proportion based on the lengths of the boxes:

16 cm / 18 cm = w / W

From this proportion, we can solve for W:

\(W = (18 cm \times w) / 16 cm\)

Now, let's consider the surface area of the boxes.

The surface area of a box is given by the sum of the areas of its six faces. Since the boxes have the same shape, the ratio of their surface areas will be equal to the square of the ratio of their lengths:

Surface area of smaller box / Surface area of larger box = (16 cm / 18 cm)^2.

We know that the surface area of the smaller box is 1472 cm^2, so we can set up the equation:

\(1472 cm^2\) / Surface area of larger box \(= (16 cm / 18 cm)^2\)

To find the surface area of the larger box, we rearrange the equation:

\(Surface $area of larger box = 1472 cm^2 / [(16 cm / 18 cm)^2]\)

Now we can substitute the value of W into the equation to find the surface area of the larger box:

Surface area of larger box \(= 1472 cm^2 / [(16 cm / 18 cm)^2] = 1472 cm^2 / [(18 cm \times w / 16 cm)^2]\)

\(= 1472 cm^2 / [(18 \times w / 16)^2] = 1472 cm^2 / [(9w / 8)^2]\)

\(= 1472 cm^2 / [(81w^2 / 64)]\)

Simplifying further:

Surface area of larger box \(= (1472 cm^2 \times 64) / (81w^2)\)

So the amount of wrapping paper needed to cover the larger box is given by the surface area of the larger box, which is:

\((1472 cm^2 \times 64) / (81w^2)\)

Note that we don't have enough information to calculate the exact value of the wrapping paper needed to cover the larger box since we don't know the width "w" of the smaller box.

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Based on the given comparisons, let's determine the relative lengths of each fish species from shortest to longest:

Damselfish: According to the information provided, the damselfish is 5/6 the length of the clownfish.

Clownfish: Since no direct comparison is given for the clownfish, we can consider it as the reference length.

Firefish: The firefish is stated to be 4/3 the length of the clownfish.

Angelfish: Lastly, the angelfish is mentioned to be 7/4 the length of the clownfish.

Now, let's compare the ratios to determine the relative lengths of the fish:

Damselfish: 5/6

Clownfish: 1

Firefish: 4/3

Angelfish: 7/4

By comparing the ratios, we can conclude that the order of the fish from shortest to longest is as follows:

Damselfish

Clownfish

Firefish

Angelfish

Therefore, from the given information, the damselfish is the shortest, followed by the clownfish, then the firefish, and finally, the angelfish is the longest among the listed fish species when considering only the longest individual of each species.

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Answer:

BCG

Step-by-step explanation:

This is because it is what you see when you look in the front of the shape.

HOPE THIS HELPED

The number of necklaces Channing can make from chain is A = 3 necklaces

Given data ,

Channing uses 16 1/4 inches of chain to make one necklace

To find out how many necklaces Channing can make from a chain that is 48 3/4 inches long, we need to divide the length of the chain by the length required for one necklace.

the mixed number 48 3/4 to an improper fraction:

48 3/4 = (48 * 4 + 3)/4 = (192 + 3)/4 = 195/4

Now, we can calculate the number of necklaces:

Number of necklaces = Length of chain / Length required for one necklace

= (195/4) / (16 1/4)

= (195/4) / (65/4)

On simplifying the fraction , we get

= (195/4) (4/65)

= (195 * 4) / (4 * 65)

= 780 / 260

A = 3

Hence , Channing can make 3 necklaces from a chain that is 48 3/4 inches long

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Answer:

The width of the garden is 12 feet.

The length of the garden is 20 feet.

Step-by-step explanation:

Let l be the length and w be the width

Then according to given statements

\(l = 2w-4\ \ \ Eqn\ 1\)

Second equation is:

\(2l+2w = 64\ \ \ \ Eqn\ 2\)

Putting l = 2w -4 in equation 2

\(2(2w-4)+2w = 64\\4w-8+2w = 64\\6w -8 = 64\\6w = 64+8\\6w = 72\\\frac{6w}{6} = \frac{72}{6}\\w = 12\)

Putting w = 12 in equation 1

\(l = 2(12)-4 = 24-4 = 20\)

Hence,

The width of the garden is 12 feet.

The length of the garden is 20 feet.

To find the maximum likelihood estimator (MLE) for λ, we need to maximize the likelihood function L(λ) with respect to λ of the Poisson distribution

First, let's write the probability density function (PDF) of the Poisson distribution:
P(X = k) = (e^(-λ) * λ^k) / k!

The likelihood function can be defined as the product of the probabilities for each observation in the random sample. Since the sample is independent and identically distributed, we can write the likelihood function as:
L(λ) = P(x1, x2, ..., xn | λ) = P(x1 | λ) * P(x2 | λ) * ... * P(xn | λ)

Taking the logarithm of the likelihood function (log-likelihood) will simplify the calculations. The log-likelihood function is:
log(L(λ)) = log(P(x1 | λ)) + log(P(x2 | λ)) + ... + log(P(xn | λ))

Now, let's calculate the derivative of the log-likelihood function with respect to λ:
d/dλ log(L(λ)) = d/dλ (log(P(x1 | λ)) + log(P(x2 | λ)) + ... + log(P(xn | λ)))
= d/dλ (log(P(x1 | λ))) + d/dλ (log(P(x2 | λ))) + ... + d/dλ (log(P(xn | λ)))

To find the MLE, we set the derivative equal to zero and solve for λ:
d/dλ log(L(λ)) = 0

The derivative of log(P(x | λ)) with respect to λ can be calculated using the logarithmic differentiation technique. After taking the derivative, we equate it to zero and solve for λ.

By solving the equation, we will obtain the MLE for λ.

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